Pith Number

pith:DUI3PL5B

pith:2015:DUI3PL5BNICW3CCZCUB6XTY524

not attested not anchored not stored refs pending

On the Buchsbaum index of rank two vector bundles on P3

Laurent Gruson, Philippe Ellia

arxiv:1503.02562 v1 · 2015-03-09 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUI3PL5BNICW3CCZCUB6XTY524}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:25:19.391013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d11b7afa16a056d88591503ebcf1dd71704ca8d2a693bd7e22485af6c235b44

Aliases

arxiv: 1503.02562 · arxiv_version: 1503.02562v1 · doi: 10.48550/arxiv.1503.02562 · pith_short_12: DUI3PL5BNICW · pith_short_16: DUI3PL5BNICW3CCZ · pith_short_8: DUI3PL5B

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DUI3PL5BNICW3CCZCUB6XTY524 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1d11b7afa16a056d88591503ebcf1dd71704ca8d2a693bd7e22485af6c235b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c210fa740f1ce6c3ffe0c0c2cbb6721d490841d695b0832799c9bf2873cf3a4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-09T17:16:58Z",
    "title_canon_sha256": "6d8c34a49b9ade69ff970c716476ac58cb087574d1b03309a2e04b9385b0798e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02562",
    "kind": "arxiv",
    "version": 1
  }
}